Question

prove that (secA-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA​

Answer 1

Step-by-step explanation:

your answer attached in the photo

Answer 2

LETS SOLVE THE GIVEN QUESTION

LHS: (secA-cosecA)(1 + tanA+cotA)

     =secA + secA*tanA+secA*cotA -cosecA-cosecA*tanA-cosecA*cotA

we know secA.*cotA=(1/cosA)*(cosA/sinA)=cosecA

SIMILARLY cosecA*tanA=secA

=secA + secA*tanA + cosecA-cosecA-secA -coescA*cotA

=tanA*secA- cotA*cosecA

L.H.S.=R.H.S

HENCE PROVED

HOPE U UNDERSTAND THIS